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Lesson: Chapter 9 — Resultant Force

9.2. The resultant of two collinear forces 3 of 7

Adding forces in a line

The observation from activity 1 can be written down as a rule.

Two collinear forces in the same direction

When two forces act collinearly in the same direction, the resultant of those two forces is equal to their sum.

resultant = force 1 + force 2

Direction: the same direction as the forces themselves.

Worked example 1

The problem

Two children pull, in the same direction, a string tied to a box resting on a table. One child applies a force of 8 N. The other applies 6 N. What is the resultant force with which the two children pull the box?

Solution

Both forces act in the same direction along the same string, so they add.

resultant force = 8 N + 6 N

resultant force = 14 N, in the direction the children are pulling.

Write the direction down

Do not stop at "14 N". For two forces in the same direction the resultant is in that same direction — and that is part of the answer, not an extra remark.